A note on the uniqueness of Koebe-Andreev-Thurston theorem

Citation
Xiao, Jun Huang et Zi, Peng Wang, A note on the uniqueness of Koebe-Andreev-Thurston theorem, Acta mathematica Sinica. English series (Print) , 28(7), 2012, pp. 1469-1474
ISSN journal
14398516
Volume
28
Issue
7
Year of publication
2012
Pages
1469 - 1474
Database
ACNP
SICI code
Abstract
In this paper, we present a new proof of the uniqueness of Koebe-Andreev-Thurston theorem. Our method is based on the argument principle in complex analysis and reviews the connection between the circle packing theorem and complex analysis.